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Finding the Third Proportional to 301,711 and 447,344

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Solution

The third proportional to 301,711 and 447,344 is: 663,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,711 : 447,344 = 447,344 : x
  2. Step 2: Convert to fraction form
    301,711/447,344 = 447,344/x
  3. Step 3: Cross multiply
    301,711x = 447,344 × 447,344
  4. Step 4: Simplify right side
    301,711x = 200,116,654,336
  5. Step 5: Solve for x
    x = 200,116,654,336/301,711
  6. Step 6: Final answer
    x = 663,272.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.